Singularly perturbed third-order boundary value problem for nonlinear systems

DOI10.1016/j.amc.2006.11.167zbMath1131.34043OpenAlexW1966532124MaRDI QIDQ2381391

Zeng-Ji Du

Publication date: 17 September 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.167

zbMATH Keywords

singular perturbationlower and upper solutionsnonlinear systemsasymptotic estimatesNagumo conditiontwo point boundary value problemthird order problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15)

Related Items (6)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems ⋮ A rational spectral collocation method for third-order singularly perturbed problems ⋮ Second-order differential equation with indefinite and repulsive singularities ⋮ Multiple positive solutions of nonlinear BVPs for differential systems involving integral conditions ⋮ Singular perturbation of a second-order three-point boundary value problem for nonlinear systems

Cites Work

• Singularly perturbed higher order boundary value problems
• The method of lower and upper solutions for systems of boundary value problems
• A simple perturbation approach to Blasius equation
• An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type.
• Nonlinear singular perturbation phenomena: theory and applications
• A boundary value problem for a singularly perturbed differential equation
• Singular perturbations for third-order nonlinear multi-point boundary value problem
• Singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations
• The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows
• Boundary and Corner Layer Behavior in Singularly Perturbed Semilinear Systems of Boundary Value Problems
• Differential Inequalities of Higher Order and the Asymptotic Solution of Nonlinear Boundary Value Problems

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